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Simplifying x2 + 3(k + -2) * x + -13 + -1k = 0 Reorder the terms: x2 + 3(-2 + k) * x + -13 + -1k = 0 Reorder the terms for easier multiplication: x2 + 3x(-2 + k) + -13 + -1k = 0 x2 + (-2 * 3x + k * 3x) + -13 + -1k = 0 Reorder the terms: x2 + (3kx + -6x) + -13 + -1k = 0 x2 + (3kx + -6x) + -13 + -1k = 0 Reorder the terms: -13 + -1k + 3kx + -6x + x2 = 0 Solving -13 + -1k + 3kx + -6x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + -1k + 3kx + -6x + 13 + x2 = 0 + 13 Reorder the terms: -13 + 13 + -1k + 3kx + -6x + x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1k + 3kx + -6x + x2 = 0 + 13 -1k + 3kx + -6x + x2 = 0 + 13 Combine like terms: 0 + 13 = 13 -1k + 3kx + -6x + x2 = 13 Add '6x' to each side of the equation. -1k + 3kx + -6x + 6x + x2 = 13 + 6x Combine like terms: -6x + 6x = 0 -1k + 3kx + 0 + x2 = 13 + 6x -1k + 3kx + x2 = 13 + 6x Add '-1x2' to each side of the equation. -1k + 3kx + x2 + -1x2 = 13 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 -1k + 3kx + 0 = 13 + 6x + -1x2 -1k + 3kx = 13 + 6x + -1x2 Reorder the terms: -13 + -1k + 3kx + -6x + x2 = 13 + 6x + -1x2 + -13 + -6x + x2 Reorder the terms: -13 + -1k + 3kx + -6x + x2 = 13 + -13 + 6x + -6x + -1x2 + x2 Combine like terms: 13 + -13 = 0 -13 + -1k + 3kx + -6x + x2 = 0 + 6x + -6x + -1x2 + x2 -13 + -1k + 3kx + -6x + x2 = 6x + -6x + -1x2 + x2 Combine like terms: 6x + -6x = 0 -13 + -1k + 3kx + -6x + x2 = 0 + -1x2 + x2 -13 + -1k + 3kx + -6x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -13 + -1k + 3kx + -6x + x2 = 0 The solution to this equation could not be determined.
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